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142355052 = 223271813121
BaseRepresentation
bin10000111110000…
…10101001101100
3100220212101102100
420133002221230
5242420330202
622043055100
73345666210
oct1037025154
9326771370
10142355052
11733a0504
123b811490
1323653278
1414c98940
15c76e41c
hex87c2a6c

142355052 has 72 divisors (see below), whose sum is σ = 413652512. Its totient is φ = 40435200.

The previous prime is 142355041. The next prime is 142355089. The reversal of 142355052 is 250553241.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44052 + ... + 47172.

Almost surely, 2142355052 is an apocalyptic number.

142355052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142355052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206826256).

142355052 is an abundant number, since it is smaller than the sum of its proper divisors (271297460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142355052 is a wasteful number, since it uses less digits than its factorization.

142355052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 142355052 is about 11931.2636380226. The cubic root of 142355052 is about 522.1448050287.

The spelling of 142355052 in words is "one hundred forty-two million, three hundred fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 181 252 362 543 724 1086 1267 1629 2172 2534 3121 3258 3801 5068 6242 6516 7602 9363 11403 12484 15204 18726 21847 22806 28089 37452 43694 45612 56178 65541 87388 112356 131082 196623 262164 393246 564901 786492 1129802 1694703 2259604 3389406 3954307 5084109 6778812 7908614 10168218 11862921 15817228 20336436 23725842 35588763 47451684 71177526 142355052